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受欢迎的代数 >

2x^2-14x+26=0

解答

2 x^{2} - 14 x + 26 = 0

解答

x = \frac{7}{2} + i \frac{3}{2}, x = \frac{7}{2} - i \frac{3}{2}

求解步骤

2 x^{2} - 14 x + 26 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 2 \cdot 26}{2 \cdot 2}

化简

(- 14)^{2} - 4 \cdot 2 \cdot 26 : 23 i

x_{1, 2} = \frac{- ( - 14 ) \pm 2 3 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 2 3 i}{2 \cdot 2}, x_{2} = \frac{- ( - 14 ) - 2 3 i}{2 \cdot 2}

x = \frac{- ( - 14 ) + 2 3 i}{2 \cdot 2} : \frac{7}{2} + i \frac{3}{2}

x = \frac{- ( - 14 ) - 2 3 i}{2 \cdot 2} : \frac{7}{2} - i \frac{3}{2}

二次方程组的解是:

x = \frac{7}{2} + i \frac{3}{2}, x = \frac{7}{2} - i \frac{3}{2}

作图

流行的例子

10 x^{2} + 12 x = - 2

6 x^{2} + 12 x + 390 = 0

solvefor x,u=x^2+y

so l v e f or x, u = x^{2} + y

x^{2} + 10 x - 40 = 0

30y^2-25000y+4375000=0

30 y^{2} - 25000 y + 4375000 = 0